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Group Theory: Finite Discrete Groups and Applications

Group Theory: Finite Discrete Groups and Applications

Hardcover

General MathematicsPhysics

ISBN10: 9811274754
ISBN13: 9789811274756
Publisher: World Scientific Publishing Company
Published: Jul 17 2023
Pages: 364
Weight: 1.44
Height: 0.81 Width: 6.00 Depth: 9.00
Language: English

This book deals with the role played by symmetry in the understanding of the physical world, beginning with the notion of geometric symmetries of the ancient Greek philosophers and mathematicians. The recognition of the existence of symmetries led to the notion of transformations, which led from one state of the system to another. It was then realized that such transformations, under the operation of multiplication, constitute an interesting set, whose study led to the branch of mathematics known as Group Theory. With the emergence of quantum mechanics, this theory became much more interesting and led to some additional applications. The theory got another boost with the need for of the internal degrees of freedom in describing physical systems. This way the notion of symmetry is no longer purely geometric and evolved into a useful tool in the study of all physical sciences.

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